问题 填空题
已知
a
=(2,1),
b
=(3,λ),若(2
a
-
b
)⊥
b
,则λ的值是______.
答案

a
=(2,1),
b
=(3,λ),

a
b
=6+λ,
b
2
=9+λ2

(2

a
-
b
)⊥
b

(2

a
-
b
)•
b
=0

2

a
b
-
b
2
=0

即12+2λ-9-λ2=0

解得λ=3或-1

故答案为:3或-1

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